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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 541 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.If x/5 + 15 = 19, what is x? (a) 4 (b) 80 (c) 170 (d) 20
  2. 2.What is the simple interest on ₹2000 at 6% per year for 5 years? (a) ₹120 (b) ₹600 (c) ₹720 (d) ₹2600
  3. 3.A teacher has 14 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 14 (c) 1 (d) 7
  4. 4.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 72 (b) 432 (c) 42 (d) 144
  5. 5.Which fraction is greater: 11/12 or 1/11? (a) 1/11 (b) 11/12 (c) They are equal
  6. 6.What is 2/3 of 36? (a) 12 (b) 36 (c) 24 (d) 25
  7. 7.Every pair follows the same rule: 3 : 9, 6 : 36, 9 : 81. What is 4 : ? (a) 6 (b) 10 (c) 16 (d) 12
  8. 8.Which is the greatest: 0.063, 0.5, 0.462, 0.54? (a) 0.063 (b) 0.5 (c) 0.462 (d) 0.54
  9. 9.In how many years will ₹8000 earn ₹2160 simple interest at 9% per year? (a) 6 years (b) 3 years (c) 2 years (d) 4 years
  10. 10.A shopkeeper buys a toy for ₹220 and sells it for ₹154. What is his loss percent? (a) 35% (b) 30% (c) 66% (d) 25%
  11. 11.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 18 sq cm (d) 100 sq cm
  12. 12.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 74% (b) 5% (c) 15% (d) 10%
  13. 13.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 40 days (b) 39 days (c) 19 days (d) 7 days
  14. 14.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 30 sq cm (c) 45 sq cm (d) 34 sq cm
  15. 15.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 48% (b) 35% (c) 40% (d) 45%
  16. 16.₹136 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹85 (b) ₹51 (c) ₹68 (d) ₹17
  17. 17.Two ribbons are 16 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 40 cm (c) 4 cm (d) 8 cm
  18. 18.If 3x + 19 = x + 27, what is x? (a) 23 (b) 4 (c) 2 (d) 5
  19. 19.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
  20. 20.If 2x + 6 = 36, what is x? (a) 30 (b) 16 (c) 21 (d) 15
  21. 21.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 10 (b) 47 (c) 76 (d) 39
  22. 22.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 112 min (c) 22 min (d) 2 min
  23. 23.If 6 notebooks cost ₹96, how much do 8 notebooks cost? (a) ₹768 (b) ₹144 (c) ₹98 (d) ₹128
  24. 24.If 3x + 14 = 2x + 19, what is x? (a) 6 (b) 33 (c) 1 (d) 5
  25. 25.What is the units digit of 7^31? (a) 9 (b) 3 (c) 1 (d) 7
  26. 26.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 12% (b) 5% (c) 6% (d) 10%
  27. 27.Today is Thursday. What day of the week will it be after 41 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  28. 28.If x/4 + 3 = 6, what is x? (a) 21 (b) 36 (c) 3 (d) 12
  29. 29.Every pair follows the same rule: 4 : 12, 6 : 18, 8 : 24. What is 7 : ? (a) 21 (b) 15 (c) 20 (d) 22
  30. 30.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 42 (b) 33 (c) 63 (d) 27
  31. 31.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 25% (b) 20% (c) 80% (d) 30%
  32. 32.What is the value of the digit 9 in 92.517? (a) 0.09 (b) 90 (c) 9 (d) 0.9
  33. 33.4.22 + 7.9 = ? (a) 12.22 (b) 5.01 (c) 12.02 (d) 12.12
  34. 34.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 4 (c) 34 (d) 5
  35. 35.What is 15% of 480? (a) 72 (b) 408 (c) 720 (d) 144
  36. 36.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 40 (b) 336 (c) 168 (d) 84
  37. 37.Every pair follows the same rule: 2 : 9, 6 : 13, 7 : 14. What is 9 : ? (a) 16 (b) 15 (c) 18 (d) 17
  38. 38.If 6 pens cost ₹78, how much do 7 pens cost? (a) ₹546 (b) ₹91 (c) ₹79 (d) ₹104
  39. 39.What is the smallest number you must add to 50 to make it divisible by 4? (a) 3 (b) 1 (c) 2
  40. 40.What is 1/8 of 48? (a) 12 (b) 42 (c) 7 (d) 6

Answer key

  1. 20
  2. ₹600
  3. 7
  4. 72
  5. 11/12
  6. 24
  7. 16
  8. 0.54
  9. 3 years
  10. 30%
  11. 81 sq cm
  12. 10%
  13. 39 days
  14. 30 sq cm
  15. 40%
  16. ₹85
  17. 8 cm
  18. 4
  19. 40%
  20. 15
  21. 47
  22. 56 min
  23. ₹128
  24. 5
  25. 3
  26. 5%
  27. Wednesday
  28. 12
  29. 21
  30. 63
  31. 25%
  32. 90
  33. 12.12
  34. 4
  35. 72
  36. 84
  37. 16
  38. ₹91
  39. 2
  40. 6

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